Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity
The high frequency behavior of the bulk modulus of fluid-saturated rock can be obtained from a double-porosity constitutive model, which is a direct conceptual extension of Biot's (1941) constitutive equations and which provides additional stiffening due to unrelaxed induced pore pressures in the soft porosity phase. Modeling the stiffening of the shear modulus at high frequency requires an effective medium average over the unequal induced pore pressures in cracks of different orientations. The implicit assumptions are that pore fluid equilibration does not occur between cracks of different orientations and between cracks and porous matrix. The correspondence between the constitutive equations of Berryman and Wang (1995) and Mavko and Jizba (1991) is explicitly noted.
- Research Organization:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 15013447
- Report Number(s):
- UCRL-JC-147809
- Country of Publication:
- United States
- Language:
- English
Similar Records
Role of Double-Porosity Dual-Permeability Models for Multi-Resonance Geomechanical Systems
Seismic signatures of reservoir transport properties and pore fluid distribution